Is 9.78778777... a rational or irrational number?

Answers

Answer 1

Answer:

rational

Step-by-step explanation:


Related Questions

Solve for x.
Round to the nearest hundredth if necessary.

Answers

Answer:

4.24

Step-by-step explanation:

By geometric mean property

[tex] {x}^{2} = 6 \times 3 \\ \\ {x}^{2} = 18 \\ \\ x = \pm\sqrt{18} \\ \\ x = \pm 4.24264069 \\ \\ \because \: x \: can \: not \: be \: - ve \\ \\ \therefore \: x = 4.24 \: units \\ [/tex]

Which expression can be used to find 1/2 of 12

Answers

Answer: 1/2*12
12/2

Explanation: either one is right. It just depends on your options.

Expression can be used to find 1/2 of 12 is 1/2*12

How to find how much percent 'a' is of 'b'?

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex](in percentage)

Given;

P= 1/2 => 5/10 => 50/100

b= 12

substituting in the formula;

 a/12 = 50/100

putting the value of 50/100 from given

 a/12= 1/2

a= 1/2*12

Therefore, the correct answer will be 1/2*12

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The measures of the angels of a triangle are show. In the figure below solve for x

Answers

Answer:

54

Step-by-step explanation:

90+36= 126

180-126= 54

The distribution of sample means for monthly employee income at a particular company for samples of 70 employees is​ normal, with a mean of ​$5971 and a standard deviation of ​$219 . You take a random sample of 70 employees from the company and find that their mean monthly income is ​$5 comma 751 . How many standard deviations is the sample mean from the mean of the distribution of sample​ means? Round to one decimal place.

Answers

Answer:

The value is  [tex]z = -8.4[/tex]

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  70  

    The mean is  [tex]\mu = \$ 5971[/tex]

    The standard deviation is  [tex]\sigma = \$ 219[/tex]

     The sample mean is  [tex]\= x = \$ 5751[/tex]

Generally the number of standard deviations the sample mean is from the mean of the distribution is mathematically represented as

         [tex]z = \frac{\= x - \mu }{ \frac{\sigma}{\sqrt{n} } }[/tex]

=>      [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]

=>      [tex]z = \frac{ 5751 -5971 }{ \frac{219 }{\sqrt{ 70 } } }[/tex]    

=>      [tex]z = -8.4[/tex]    

The second derivative of a function F is given by F^11(x)=sin(3x)- cos (x^2). How many points of inflection does the graph FF have on the interval 0

Answers

Z+=^ plus deez d3+88 wayward too duke

(14)/(5)=(x)/(25) please help

Answers

Step-by-step explanation:

(14)/(5)=(x)/(25)

We move all terms to the left:

(14)/(5)-((x)/(25))=0

We add all the numbers together, and all the variables

-(+x/25)+14/5=0

We get rid of parentheses

-x/25+14/5=0

We calculate fractions

There is no solution for this equation

What is the value of y in the solution to this system of equations?
y =
7x+14
2.
2x + 4y = 60

Answers

Answer:

[tex]y = \frac{224}{15}[/tex]

Step-by-step explanation:

Given

[tex]y = 7x + 14[/tex]

[tex]2x + 4y = 60[/tex]

Required

Find y

First, substitute 7x + 14 for y in the second equation:

[tex]2x + 4y = 60[/tex] becomes

[tex]2x + 4(7x + 14) =60[/tex]

Open bracket

[tex]2x + 28x + 56 = 60[/tex]

[tex]30x = 60 - 56[/tex]

[tex]30x = 4[/tex]

Solve for x

[tex]x = \frac{4}{30}[/tex]

[tex]x = \frac{2}{15}[/tex]

[tex]y = 7x + 14[/tex] becomes

[tex]y = 7 * \frac{2}{15} + 14[/tex]

[tex]y = \frac{14}{15} + 14[/tex]

[tex]y = \frac{210+14}{15}[/tex]

[tex]y = \frac{224}{15}[/tex]

Hence:

[tex]y = \frac{224}{15}[/tex]

The explains why a x b = b x a and a + b = b + a.

Answers

Answer: The commutative property

Explanation: the commutative property of addition/multiplication states that no matter what order the expression is in it will equal the same thing.

Determine the total surface area of each right triangle-based prism

Answers

Answer:

small prism: 630 m²large prism: 2520 m²

Step-by-step explanation:

The total surface area of the prism is the sum of the base area and the lateral area. The base area is made up of two right triangles, so will be the product of the triangle leg dimensions. The lateral area is made up of three rectangles whose width is that of the prism and whose equivalent length is the perimeter of the triangle base.

For the smaller prism, the area is ...

  (20 m)(21 m) +(3 m)(20 m + 21 m + 29 m) = 420 m² +210 m² = 630 m²

The larger prism is similar, with a scale factor of 2, so its area will be 2² = 4 times that of the smaller prism:

  4×630 m² = 2520 m²

__

In summary, the total surface area of each prism is ...

small prism: 630 m²large prism: 2520 m²

Georgia wants to test a protein supplement
for muscle gain. It randomly selects 15
players to take the supplement and 15
players to take a placebo. Before and after
10 weeks of taking these pills, the players'
muscle mass is measured and compared.
This is an example of a(n):
A) Sample B) Observational Study
C) Census D). Experiment

Answers

Sorry I don’t know the answer hope you find one bye

What is Square root of 296 to the nearest tenth?

Answers

Answer:

16.4

Step-by-step explanation:

√269= 16.40121946...

simplifies to 16.4 I believe

Answer: 17.2

Step by step explanation: Here are step-by-step instructions for how to get the square root of 296 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 296 to be:

√296 = 17.20465053408530

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

17.20

Step 3: Round 17.20 so you only have one digit after the decimal point to get the answer:

17.2

Kenia rotated Triangle ABC 90° counterclockwise to create Triangle A’B’C’. If Kenia performed this transformation correctly, what is the measure of angle B'? What is the measure of angle A and C. Number value only. URGENT

Answers

Answer:

B' = 105°

C = 27°

A = 48°

Step-by-step explanation:

Given

B = 105°

C = (2x - 3)°

C' = (5x - 48)°

Rotation = 90°

Before solving the requirements of this question, it should be noted that rotation do not change the angle of shapes.

i.e. an angle retain its measurements pre and after rotation.

Solving (a): The measurement of B'

Using the analysis above.

B' = B

Recall that

B = 105°

So:

B' = 105°

Solving (b): A and C

First, I'll solve for C.

Using the same analysis above.

C = C'

Substitute values for C and C'

5x - 48 = 2x - 3

Collect like terms

5x - 2x = 48 - 3

3x = 45

Multiply both sides by ⅓

⅓*3x = ⅓*45

x = 15

Substitute 15 for x in

C = (2x - 3)°

C = 2 * 15 - 3

C = 30 - 3

C = 27°

Solving for A

The sum of angles (A, B and C) is represented as:

A + B + C = 180

Substitute values for B and C

A + 105° + 27° = 180°

A + 132° = 180°

Collect like terms

A = 180° - 132°

A = 48°

If f(x) is differentiable for the closed interval [−4, 0] such that f(−4) = 5 and f(0) = 9, then there exists a value c, −4 < c < 0 such that

f(c) = 0
f '(c) = 0
f (c) = 1
f '(c) = 1

Answers

ummm just look at this photo

The speed limit on a highway is 80 miles per hour. How many miles per minute is this?

Answers

Answer:

1.3333

Step-by-step explanation:

1.3333

Conversion Table

miles per hour to miles per minute

mph mi/min

80 1.3333

90 1.5

100 1.6667

The speed of this:

70 miles per hour

1 hour = 60 minutes

70/60 = 7/6

around 1 1/6 mile per minute

hope this helps

x2+2x+3 factorization

Answers

Answer:

Not possible

Step-by-step explanation:

Given quadratic polynomial = x² + 2x + 3.

Possible factors of 3 are , 1 & 3 .

And we can get 2 from 3 and 1 in only one way that is 3 - 1 .

=> x² + 2x + 3 .

=> x² + 3x - x + 3 .

=> x ( x + 3 ) - 1 ( x - 3 )

Hence the factorisation is not possible .

Which of the following is an arithmetic sequence?
O A. 2, 4, 16, 32,
O B. 5,-5, 5, -5,..
OC. 2,3, 7, 1, ..
OD. 3, 0, -3, -6

Answers

Answer:

D

Step-by-step explanation:

because it has a varying and uniform difference of -3

Complete the similarity statement for the two triangles shown. L 25 ft 18 ft 10 ft Z 55 ft 01 22 ft Enter your answer in the box. A D 45 ft Δ DPL »Δ P Р 3 4 5 6 7 8 9 10​

Answers

Answer:

∆DPL ~ ∆QAZ

Step-by-step explanation:

In the diagram given, the following can be deduced:

<D is congruent to <Q

<P is congruent to <A

<L is congruent to <Z

From these, looking at the letter arrangement, the similarity statement can be written as:

∆DPL ~ ∆QAZ

answer this!! will mark brainliest! 20 points

Answers

Answer:

Step-by-step explanation:

is the first choice, no other terms have anything in common with the number

399 or variable w

Sally bought 3 packs of strawberries for $7.65. What is the unit price? (price per ONE pack)
A. $2.55
B.$2.05
C. $1.55
D. $2.75

Answers

Answer:

A

Step-by-step explanation:

you just need to divide $7.65 by 3

Answer: The answer is A

Each box cost $2.55

Step-by-step explanation:

7.65 divided by 3 = to 2.55

On a piece of paper, graph y= -2x - 3. Then determine which answer
matches the graph you drew.

Answers

The answer is a because a is the only one who has the the y intercept of 3 and a slope of -2. It’s the only one who has both

Write the explicit rule for the given the sequence: 125, 25, 5, ...

Answers

Answer:

An=125(1/5)^n-1

Step-by-step explanation:

r=common ratio

A1= first term in the sequence

I hope this helps some

The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].

What is geometrical progression series?

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

The given GP series is 125, 25, 5, ...

First term a = 125

Common ratio = 25/125 = 1/5

The nth term will be given as ar^(n-1)

Thus, An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].

Hence "The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125".

For more information about the geometrical progression,

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Prove that: 6^7-6^6+6^5 is divisible by 31
15 points!!!

Answers

Step-by-step explanation:

[tex]6^7-6^6+6^5=6^{5+2}-6^{5+1}+6^5\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=6^5\cdot6^2-6^5\cdot6^1+6^5\\\\\text{use the distributive property}\ a(b+c)=ab+ac\\\\=6^5\cdot(6^2-6^1+1)=6^5\cdot(36-6+1)=6^5\cdot31\\\\6^7-6^6+6^5=6^5\cdot31[/tex]

therefore it's divisible by 31

[tex](6^7-6^6+6^5):31=(6^5\cdot31):31=6^5[/tex]

[tex]6^7 - 6^6 + 6^5[/tex] is divisible by 31.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[tex]6^7 - 6^6 + 6^5[/tex] s

Taking common factors.

[tex]6^5[/tex] (6² - 6 + 1)

[tex]6^5[/tex] (36 - 6 + 1)

[tex]6^5[/tex] x 31

This is divisible by 31.

Thus,

[tex]6^7 - 6^6 + 6^5[/tex] is divisible by 31.

Learn more about expressions here:

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What’s the answer to this radical functions equation ASAP

Answers

9514 1404 393

Answer:

  y = ∛(x -4) -1

Step-by-step explanation:

The transformation ...

  g(x) = f(x -h) +k

translates the graph of f(x) h units to the right and k units up. Here, the cube root function is translated 4 units right and 1 unit down, so h=4 and k=-1. Putting those into your equation gives ...

  y = ∛(x -4) -1

Which function has a graph with a positive y-intercept?
A. I and III only
B. I only
C. II, and III
D. III only

Answers

Answer:are you taking AP calculus AB

Step-by-step explanation:

Answer:

A l and lll

my teacher helped me

How do you skip videos on edunuity?

Answers

Answer: let the video play for a while, pause, disconnect from wifi, reconnect, then refresh the page.

Step-by-step explanation:

You may have to press next activity again and it might not work the first time but I promise it works.

Answer:

you skip when it comes to the very end

Step-by-step explanation:

Please Give Brainleast

The sum of two positive numbers is 4 and the sum of their cubes is 28. What is the product of the two numbers?

Answers

Answer:

3

Step-by-step explanation:

system of equations:

[tex]a+b=4[/tex]

[tex]a^3+b^3=28[/tex]

[tex]a=4-b[/tex]

plug in for a in other equation and solve

[tex](4-b)^3+b^3=28[/tex]

[tex]64-48b+12b^2-b^3+b^3=28[/tex]

[tex]64-48b+12b^2=28[/tex]

[tex]0=36-48b+12b^2[/tex]

[tex]0=3-4b+b^2[/tex]

[tex]0=(b-3)(b-1)[/tex]

[tex]b = 3[/tex]

or

[tex]b=1[/tex]

plug into other equation to get a

[tex]a=4-b=4-3=1[/tex]

or

[tex]a=4-b=4-1=3[/tex]

multiply together

[tex]1*3=3[/tex]

Which equation represents the line passing through the points (4, −1) and (1, 0)?

Select one:
A. x + 3y = 1
B. 3x + y = 1
C. x − 3y = −1
D. −x + 3y = 1

Answers

are you guys doing the ax+by=c formula?

What 7 to the 2 power plus 6

Answers

Answer:

[tex]7^2+6[/tex]

7 to the 2nd power is 49

49+6

55

In the year, it was released, Rush Hour earned $334,100,000 while the films Star Wars and Freaky Friday together earned $1,096,599,010. How much did all three movies earn together?
A. $1,430,699,010
B. $1,420,699,010
C. $1,330,699,010
D. $762,499,010
And brainliest.

Answers

Answer:

A. $,143,699,010

Step-by-step explanation:

Use a calculator my friend.

A. 1,430,699,010

put it in a calculator and then you should have the right answer

Question in picture below will give brainly.

Answers

Answer:

The Best answer would be The Third Option Below

Step-by-step explanation:

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